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Finding the Fourth Proportional to 4,229.76, 5,840.64 and 4,012.32

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Solution

The fourth proportional to 4,229.76, 5,840.64 and 4,012.32 is: 5,540.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.76 : 5,840.64 = 4,012.32 : x
  2. Step 2: Convert to fraction form
    4,229.76/5,840.64 = 4,012.32/x
  3. Step 3: Cross multiply
    4,229.76x = 5,840.64 × 4,012.32
  4. Step 4: Simplify right side
    4,229.76x = 23,434,516.68
  5. Step 5: Solve for x
    x = 23,434,516.68/4,229.76
  6. Step 6: Final answer
    x = 5,540.39

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.